Problem of the Week

Updated at Oct 6, 2025 5:19 PM

To get more practice in algebra, we brought you this problem of the week:

How would you find the factors of \(18{w}^{2}-39w+20\)?

Check out the solution below!



\[18{w}^{2}-39w+20\]

1
Split the second term in \(18{w}^{2}-39w+20\) into two terms.
\[18{w}^{2}-15w-24w+20\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[3w(6w-5)-4(6w-5)\]

3
Factor out the common term \(6w-5\).
\[(6w-5)(3w-4)\]

Done